Answers
Answer:
x = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = 6[tex]\sqrt{2}[/tex]
This is the exact value for x. It may be rounded if you wish
Answer:
[tex]x=6\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]
From inspection of the given right triangle:
θ = 45°A = 6H = xSubstitute the given values into the cosine trigonometric ratio and solve for x:
[tex]\implies \cos(45^{\circ})=\dfrac{6}{x}[/tex]
[tex]\implies \dfrac{\sqrt{2}}{2}=\dfrac{6}{x}[/tex]
[tex]\implies x\sqrt{2}=6 \cdot 2[/tex]
[tex]\implies x\sqrt{2}=12[/tex]
[tex]\implies x=\dfrac{12}{\sqrt{2}}[/tex]
[tex]\implies x=\dfrac{12}{\sqrt{2}}\cdot \dfrac{\sqrt{2}}{\sqrt{2}}[/tex]
[tex]\implies x=\dfrac{12\sqrt{2}}{2}[/tex]
[tex]\implies x=6\sqrt{2}[/tex]
Related Questions
Practice: Determining if a Relation is a Function the Siven is not a funcr...l
since the element in the domain is repeated!
1) {(-1, 8), (0, 15), (1,-4), (2, 0)}2) {(-5,2), (5, 2), (0, -3), (3, -8)} 3) {(-2,7), (6,2), (-2,-3), (0, 9)}
it is a function
because there is not any
Points which have the
X-Coordinate and differe
y-Coordinates.
4) {(7.2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2.6)}
6) {(1,-4), (2,-4), (3, 4), (4-4)}
Answers
On solving the provided question, we can say that - here in the function, every element has an unique image
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
every element has an unique image and,
this relation, is not a function, since it is not one-one and onto.
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Equations of Exponential Functions
Given the following equation of an exponential function
C = 10.5(1.194)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?
a. b is 1.94; It is a growth factor.
b. b is 1.194; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.
Please select the best answer from the choices provided
Answers
Answer:
A. B is 1.194; It is a growth factor.
Step-by-step explanation:
I calculated it logically
What is the expression?
Answers
Answer:
F=1.8C+32
113°F
Step-by-step explanation:
F=1.8C+32
F=1.8(45)+32
F=81+32
F=113
Answers:
The expression is 1.8C+32The given Celsius temperature converts to 113 degrees Fahrenheit==================================================
Explanation:
C = temperature in Celsius
1.8C = multiply C by 1.8
1.8C+32 = add on 32
The expression 1.8C+32 is the first part of the answer.
This represents the temperature in Fahrenheit.
----------
Now replace C with 45 and use the order of operations (PEMDAS) to simplify
1.8*C + 32
1.8*45 + 32
81 + 32
113
Therefore, 45 degrees Celsius converts to 113 degrees Fahrenheit.
Guys, how many triangles are in this picture? Triangles with stripes inside also count
Answers
Therefore , as a result Two of a triangle's sides and the included SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.
What is the SAS?The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.
Here,
if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.
Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.
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Joe earned 2,100$.He spent 1/5 on rent and 1/3 on food.How much money did he have left
Answers
Answer:
$980
Step-by-step explanation:
Step 1: Find [tex]\frac{1}{5}[/tex] of 2100 = 420
[tex]\frac{1}{5}\times \:2100[/tex]Convert 2100 to a fraction: [tex]\:2100=\frac{2100}{1}[/tex][tex]=\frac{1}{5}\times \frac{2100}{1}[/tex]Cross Divide[tex]2100 \div 5 = 420[/tex]Step 2: Find [tex]\frac{1}{3}[/tex] of 2100 = 700
[tex]\frac{1}{3}\times \:2100[/tex]Convert 2100 to a fraction: [tex]\:2100=\frac{2100}{1}[/tex][tex]=\frac{1}{3}\times \frac{2100}{1}[/tex]Cross Divide[tex]2100 \div 3 = 700[/tex]Step 3: Add both results together
[tex]420 + 700 = 1120[/tex]
Step 4: Subtract the result from how much joe earns ($2,100)
[tex]2100 - 1120 = 980[/tex]
Joe has $980 left
If Joe earned 2,100$ and He spent 1/5 on rent and 1/3 on food, Joe had $980 left after paying for rent and food.
Joe earned $2,100 and spent 1/5 of it on rent and 1/3 on food. To calculate the amount he spent on rent, we need to find 1/5 of $2,100, which is
(1/5) * $2,100 = $420.
Similarly, the amount he spent on food is found by calculating 1/3 of $2,100, which is (1/3) * $2,100 = $700.
To determine how much money Joe had left, we subtract the total amount he spent from his earnings. Adding the amounts spent on rent and food, we get $420 + $700 = $1,120.
To find the money Joe had left, we subtract the total spent from his earnings: $2,100 - $1,120 = $980.
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Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces
Answers
Answer:
$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3
$14.40 for 3 dozen I'm pretty sure
if you randomly choose a number 1-10 what is the probability of choosing either an odd number or an even number
Answers
Answer:
wouldn't it be a 10/10 for probability just my thoughts
A student takes a multiple choice exam with 10 questions, each with four possible selections for the answer. A passing grade is 60% or better. Suppose that the student was unable to find time to study for the exam and just guesses at each question. Identify the probability that the student gets exactly one question correct.
a. 0.00157
b. 0.00004
c. 0.0023
d. None of the given answers
Answers
Customary American Units of Capacity
1 cup = 8 ounces
1 pint = 2 cups or 16 ounces
1 quart = 2 pints, 4 cups, or 32 ounces
1 gallon = 4 quarts, 8 pints, 16 cups, or 128 ounces
9 cups = ___ pints ____ cups
Answers
20.945649350649 c = 9 dry pt, Four pints equal nine cups. The metric system uses the litre and millilitre as the units of capacity. By dividing by 11000, we may convert millilitres into litres.
What is the US customary unit for capacity?In the United States, ounces, cups, pints, quarts, and gallons are the commonly used measurement units for capacity or volume. Cups, pints, quarts, and gallons are some of the volume or capacity measuring units used in the United States. 8 fluid ounces are the equivalent of 1 cup. There are 2 cups in a pint. 1 quart equals 2 pints.
The solution is clear cut and simple to remember when dealing with liquids. Eight fluid ounces make up one cup, which is the unit of measurement for liquids. Every liquid has this property. The solution is clear cut and simple to remember when dealing with liquids. Eight fluid ounces make up one cup, which is the unit of measurement for liquids. For all liquids, this is true. 4 pints are equal to 9 cups.
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25x25=625 took the test
Answers
Answer: Correct
Step-by-step explanation:
PLEASE HELP! Image below. This is due in 10 Minutes!
Answers
Answer:
9 x 3.5 = 31.5 (area of rectangle now time for the trapezoid!)
Area of little square:
2 x 2 = 4
Area of two triangles:
2 x 2 = 4
4 divided by 2 = 2
5 x 2 = 10
10 divided by 2 = 5
The summed up area's of triangles:
5 + 2 = 7
7 + 4(little square's area) = 11
11 + 31.5 = 42.5
a doughnut factory can make 1980 doughnuts in 1.5 hr how long would it take to make 6600 doughnuts
Answers
Answer: 5 Hours
Step-by-step explanation:
Divide 6600 by the amount per 1.5 hours.
6600 / 1980 = 3.333
Multiply the answer by the 1.5 hours.
1.5 x 3.333 = 5
1.1.2 Quiz: What Is Health?
Question 2 of 10
In order to maintain wellness, the parts of the health triangle always need to
be
Select two responses.
and
A. working together
B. apart from one another
C. independent of one another
D. in balance
Answers
Answer:
The World Health Organization (WHO) defines health as 'a state of complete physical, mental and social wellbeing and not merely the absence of disease or infirmity'
write one lakh ninety thousand eight hundred and fifty in digits
Answers
Answer:
it is
190850
it is the correct answer
Step-by-step explanation:
1,90,850 is your answer...
hope it helps
“Find 3.4 x 2.6 by drawing an area diagram. Show your reason (I need help on this-
Answers
The area is 8.84 sq. units
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
To find the area we will find the product of 3.4 x 2.6, we can break each length into its base-ten units,
3.4 = 3+0.4
2.6 = 2+0.6
We can rewrite the product and solve it,
= (3+0.4) × (2+0.6)
= (3+0.4) × 2 + (3+0.4) × 0.6
= 3 × 2 + 0.4 × 2 + 3 × 0.6 + 0.4 × 0.6
This expression represents the partial product, each of the expression gives the area of sub rectangles (A, B, C and D). the sum of the partial product will give the area of the main rectangle.
Therefore,
3 × 2 + 0.4 × 2 + 3 × 0.6 + 0.4 × 0.6
= 6+0.8+1.8+0.24
= 8.84
Hence, the required area is 8.84 sq. units.
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geometric sequence
plz help me
thank you
Answers
Answer:thats your answer
Step-by-step explanation:
Please help will mark Brainly
Answers
The graph of the given inequality y < 4x - 5 is attached below.
What is graph of inequality?
Treat the <, ≤, >, ≥ or sign as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either < or >. Graph the equation as a solid line if the inequality is either ≤ or ≥.
A region on one side of a line can be used to graphically represent an inequality. For the purpose of indicating that a line is not a part of the region, inequality plots that use the < or > symbols have a dashed line. Plotting a solid line indicates that an inequality that uses the symbol
"≤ or ≥" is included in the region.
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I need help with this
Answers
Answer:
im confusled
Step-by-step explanation:
Well hi and hi and please help 10 points
Answers
Find Mn to the nearest tenth
Answers
Answer:
B. 23.8
Step-by-step explanation:
Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)
c = length of side you are finding
a = length of side a
b = length of side b
y =angle opposite c
Find the length of the line segment shown below.
Answers
The line segment AB is d = [tex]\sqrt{106}[/tex] in length if (-5, 4) and (B), and A = (-5 , 0) . A line segment is hence a section or component of a line with two endpoints.
what is line segment ?A line segment in geometry is bordered by two separate points on a line. A line segment has two fixed or distinct endpoints, whereas a line has no endpoints and can stretch in both directions indefinitely. A line segment is hence a section or component of a line with two endpoints. A line segment, unlike a line, has a set length. Measuring the length of a line segment can be done using either metric measurements, such as millimeters or centimeters, or conventional measurements, such as feet or inches.
given
d = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
(5 )2 + ( 9 ) 2 = d
d = 25 + 81
d = [tex]\sqrt{106}[/tex]
The line segment AB is d = [tex]\sqrt{106}[/tex] in length if (-5, 4) and (B), and A = (-5 , 0)
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1.an=5n+5
A1 A2 A3
2.An=6n²+3
A1 A2 A3
Answers
Answer:
a1=11
a2=15
a3=20
a1=9,a2=27,a3=57
Answer:
#1aₙ = 5n + 5
a₁ = 5*1 + 5 = 10a₂ = 5*2 + 5 = 15a₃ = 5*3 + 5 = 20#2aₙ = 6n² + 3
a₁ = 6(1²) + 3 = 9a₂ = 6(2²) + 3 = 27a₃ = 6(3²) + 3 = 57(3x −5)^2 =(? + ?? +25)
Answers
Answer:
x = 3.556 or [tex]\frac{32}{9}[/tex]
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
(3*x-5)^2-((x+x+25))=0
Evaluate:
[tex](3x-5)^{2}[/tex] = [tex]9x^{2} -30x+25[/tex]
Pull like factors:
9x^2 - 32x = x • (9x - 32)
x • (9x - 32) = 0
Remember roots of a product:
A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 separately. In other words, we are going to solve as many equations as there are terms in the product. Any solution of term = 0 solves product = 0 as well.
Solve : 9x - 32 = 0
Add 32 to both sides of the equation :
9x = 32
Divide both sides of the equation by 9:
x = 32/9 = 3.556
A large ice cream cone can hold 143.56 cm of ice cream. The cone is 15 cm tall. What is the radius of the base of the cone? Be sure your answer is in the proper units. Round your answer to the nearest hundredth.
Answers
Answer:
r = 3.02 cm
Step-by-step explanation:
V cone = πr²h/3
r = √(3V/πh)
r = √(3(143.56)/π(15))
r = 3.0231297
what are the types of sneakers the students in our school wear? Is this a statistical question?
Answers
Answer:
No.
Step-by-step explanation:
This is not statistical because a statistical question is a question that can be answered by collecting data that vary. Data pertains to numbers. Your question is not asking for numbers.
A contour map is shown for a function f on the square R = [0, 8] [0, 8].
(a) Use the Midpoint Rule with m = n = 2 to estimate the value of ∫∫R f(x,y) dA. (Round your answer to the nearest integer.)
1360 ×
(b) Estimate the average value of f. (Round your answer to one decimal place.)
21.3 ×
Answers
The average value of f is 16.25.
What is contour map?A contour line of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. It is a plane section of the three-dimensional graph of the function f parallel to the-plane.
Given that, a contour map is shown for a function f on the square R = [0, 8] [0, 8].
Since the given square is 8 by 8 and we are using m=n=2, then each sub-rectangle is 4 by 4. So, the area of the given rectangle is 64 and the area of each sub-rectangle is 16, that is, ΔA=16
Furthermore, the centers of the sub-rectangles are (2,2),(2,6),(6,2),(6,6).
a) The estimated value of [tex]\int\limits\int\limits_R f{x} \, dA[/tex]
=16⋅f(2,2)+16⋅f(2,6)+16⋅f(6,2)+16⋅f(6,6)
≈16⋅27+16⋅3+16⋅12+16⋅23
≈1040
b) The average value of f will be
[tex]f_{avg}=\frac{1}{A}.\int\limits\int\limits_R (x, y) \, dA[/tex]
≈ 1/64 ×1040
≈ 16.25
Therefore, the average value of f is 16.25.
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For the following geometric sequence, find the recursive formula.
(-80, 20, -5, ...)
Answers
9514 1404 393
Answer:
a[1] = -80a[n] = -a[n-1]/4Step-by-step explanation:
The first term is -80, so the first part of the recursive definition is ...
a[1] = -80
The common ratio is 20/-80 = -1/4, so the recursive rule is ...
a[n] = (-1/4)a[n-1]
Solve for x
answer needs to be fraction
Answers
9514 1404 393
Answer:
9/8
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AB/CB = AD/ED
x/1 = (x+9)/9
9x = x +9 . . . . . . multiply by 9
8x = 9 . . . . . . . . .subtract x
x = 9/8 . . . . . . . . divide by 8
Pls I really need help with this. I need 5, 6, and 7
Answers
Answer:
5. F, G, L, and A are the vertices.
6. The answer is isosceles trapezoid.
If two obtuse angles are next to each other (100° and 100°) and followed by two acute angles next to each other as well ((80° and 80°), the shape is trapezoid. Trapezoid is quadrilateral shape that has a pair of parallel sides parallel. When angles on each of its base are equal, trapezoid is called isosceles trapezoid.
7. No. A trapezoid is a quadrilateral, and therefore must have an interior angle sum of 360 degrees. Any obtuse angles must be offset by acute ones, unless they’re all right angles/it’s a rectangle.
91 + 91 + 91 + 91 = 364 > 360.
An obtuse angle always lies between 90° and 180°.
Step-by-step explanation:
Have a nice day!
PLZ HELP
Solve each equation.
a.(8.5) ⋅ (- 3) = a
b.(- 7) + b = (-11)
c.c - (- 3) = 15
d.d⋅ (-4) = 32
Answers
Answer:
[tex]a = - 25.5 \\ b = - 4 \\ c = 12 \\ d = - 8[/tex]